<1 and <2 are vertical angles if m <1 = (6x+11) and m<2 = (10x -9) then the m<1 is how many degrees

Answer 1

Since <1 and <2 are vertical angles, we know that

m(<1 )= m(<2.) Therefore, we can solve the algebraic equation ( substituting the expressions for the angles):

6 *x + 11 = 10*x -9 ; subtract 10*x from both sides

-4*x + 11 -9 ; subtract 11 from both sides

-4*x = -20; ;divide by -4

x = 5

substituting x = 5 in the original expression we now have the value :

m (<1) = 6*x+11 = 6*5 + 11 = 41